PLEASE HELP I NEED ANSWERS 3 and 4!!
For questions 3 and 4, you will be answering by filling in the blanks. Please be aware that your answer must include any commas or decimals in their proper places in order to be correct. The dollar signs have been provided. For
example, if the answer is $1,860.78, then you will enter into the blank 1,860.78. Do not place any extra spaces between numbers, commas, or decimal places. Round any decimals to the nearest penny when the answer involves money, so that $986.526 would be typed into the blank as 986.53 and $5,698.903 would be typed into the blank as
5,698.90.

3. Your friend gives you a gift card for $25.00. CDs cost $10.98 each plus 5.25% sales tax. You
buy as many CDs as possible without having to pay any extra money. What is the balance on
the card after the purchase?
$____.

4. You go to the wholesale club and buy a large bag of 12 smaller chip bags at $10.50. At your
local store, the individual chip bags cost $0.99/bag. How much do you save per dozen bags by buying in bulk?
$____.

Answer:

Step-by-step explanation:

Using six random samples, the average number of catfish in the samples was 5.7

Answer:

Uhhhh......Hi??

To find a possible formula for the polynomial with the given specifications, determine the factors corresponding to the given roots and their multiplicities.

The roots are of multiplicity 2 at and a root of multiplicity 1 at .

The formula for the polynomial can be written as:

= (−)²(−)²(−)

Here, and represent the unknown factors for the respective roots, while represents the remaining factor.

In summary, a possible formula for the polynomial is given by:

= (−)²(−)²(−)

This formula satisfies the given conditions of a polynomial of degree 5 with leading coefficient 1, roots of multiplicity 2 at and , and a root of multiplicity  at  1.

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Considering the given equation, the integral of dx ,i.e,  ∫ 1/1(2 - x - x²)dx is sin 0 + C.

Given:

               1 √2 - 2x - x²

Integration of a function is a reverse process of differentiation.

Integration is defined as finding the function when its derivative is given. The process of integration is represented by the symbol '∫'. The symbol ∫ is known as the integral symbol.

The function which is to be integrated is called the integrand, and the variable with respect to which integration is performed is called the integration variable.

The integration is performed using an indefinite integral or a definite integral.

Integration of 1 √2 - 2x - x²

We can write the given function as follows:

1/1(2 - x - x²)

∴ ∫ 1/1(2 - x - x²)dx

To integrate this function, we can split it into three parts and integrate each part separately.

1/1(2 - x - x²) = 1/1(1 - (x + 1)²)

                  = A/1(x + 1) + B/1(x + 1) + C

 Where A, B, C are constants.

To find the values of A, B, and C, we have to solve the above equation for

x = -1,

x = √2 + 1

x = -√2 + 1.

On solving we get

A = -1/2,

B = 1/2(√2), and

C = 1/2(-√2).

∴ \(1/1(2 - x - x²) = -1/2(1/(x + 1)) + 1/2(√2)/(√2 + 1 - x) - 1/2(√2)/(√2 - 1 + x)\)

∴ \(∫1/1(2 - x - x²)dx= -1/2 ln|x + 1| + 1/2 ln|√2 + 1 - x| - 1/2 ln|√2 - 1 + x| + C\)

Final Answer: -1/2 ln|x + 1| + 1/2 ln|√2 + 1 - x| - 1/2 ln|√2 - 1 + x| + C.

Integrating dx, given Z = A sin 0

We are given the following hint:

Z = A sin 0.

We know that the integral of dx is x + C.

∴ ∫ dx = x + C

∴ ∫ dx = Z/A + C.

From the given hint,

Z = A sin 0.

Substituting the value of Z in the above equation, we get:

∴ ∫ dx = Z/A + C = sin 0 + C

Therefore, the integral of dx is sin 0 + C.

Include conclusionIn this solution, we have learned how to perform the integration of the given functions. We split the function into three parts and integrated each part separately. We solved the equation to find the values of A, B, and C, and then substituted these values in the equation to get the final answer. We also integrated the function dx by substituting the value of Z in the given formula.

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Step-by-step explanation & Answer:

18) 8

20) 26

22) 36

24) 2

If this helped plz pick this answer

analyze problem

complex interest

2000+2000*0.005=2010

2010+2010*0.005=2020.05

2020.05+2020.05*0.005=2030.15025

Answer:

of the the sales tax of 7.25 percent is applied to an item that costs 28 dollars, then 2.03 dollars is the sales tax collected

Answer:

x = 0

x = 2

x = -2

Step-by-step explanation:

f(x) = \(x^{3}\) - 4x

Factor

f(x) = x ( \(x^{2}\) - 4)

f(x) = x ( ( x - 2 ) ( x + 2 ) )

zeros;

x = 0

x = 2

x = -2

Answer:

4

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Step-by-step explanation:

When (f + g)(x) = 0,

f(x) + g(x) = x² + 6x + 4 = 0.

Therefore (x + 3)² - 5 = 0, we have

x = sqrt5 - 3 or x = -sqrt5 - 3.

The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

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Answer:

18

Step-by-step explanation:

Answer:

21 and 1/4 ounces left!

Answer: 21 1/3 ounces of water

Step-by-step explanation:

21 7/12 - 1/4=

21+7/12 - 1/4=

21+7/12 - 3/12=

21+4/12=21 1/3 ounces of water

Answer:

964 1/4m

Step-by-step explanation:

length x width x height

Answer:

964.25 is the volume

Step-by-step explanation:

To find the volume of a rectangular prism your going to do length times width times height.

Your length is 7 1/4m

Your height is 14m

Your width is 9 1/2m

So we are going to do 7 1/4 * 9 1/2 * 14

Which will give you 964.25

The present value of the payment is: $25,015.42

Now, According to the question;

An annuity is series of equal annual payments or receipts made for a certain number of years.

A delayed annuity is that which the first cash flow occurs at a time later than year one.

A standard annuity is that which the first cash flow occurs a year from now.

An advanced annuity is that which first cash flow  occurs immediately or now.

$5,100 per where the first payment occurs in year 6 and end 20 years from today is an example of a delayed annuity.

Present Value = A ×( 1 - (1+r)^(-n))/r

                       = 5,100 × ( 1 - (1+0.079)^(-11))/0.079

                      = 36,586.01

Present Value = Future Value × (1 + r)^(-n)

Present Value = $ 36,586.01  × (1+0.079)^(-5)

Present value = $25,015.42

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Answer:

this is the real answer

\( \frac{664}{5} \)

Answer:

(c)

Step-by-step explanation:

Answer is (c) 2

Its my guess

Answer:

the tetrahedron, octahedron and icosahedron

Answer:

tetrahedron, octahedron, icosahedron

Answer:1.125

Step-by-step explanation:

The estimated cost of producing the 15th unit is $10.30.

Given the following information about a process that makes high-end boards that get mounted on skateboards:Process starts with a unit cost of $13 for the first unit. Learning rate of LR = 0.90.

Solution :Let's use the learning curve formula to calculate the estimated cost of producing the 15th unit.C = a * N^b .Where:

C = cost per unit ,N = cumulative production volume, a = the unit cost of the first unit, b = log(LR) / log(2) = log(0.90) / log(2) = -0.152N = 15a = 13 (given)

Now, b = -0.152

Therefore ,C = 13 * (15)^(-0.152)C = 13 * 0.789C = 10.3 dollars.

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Answer

17/50, which is 34%.

Step-by-step explanation:

1. Add together all the numbers. They add up to 50.

2. Add together the times 1 and 3 were spun. This adds up to 17.

3. Divide 17 by 50 to get the probability.

4. 17/50 equals .34, or 34%. The probability is 34 percent.

Hope this helps!

The probability helps us to know the chances of an event occurring. The probability of the spinner landing on 1 or 3 is 0.34.

The probability helps us to know the chances of an event occurring.

\(\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)

The total number of outcomes is 50(8+6+9+11+9+7). And the outcomes that land on 1 or 3 are 17(8+9).

Therefore, the probability of the spinner landing on 1 or 3 can be written as,

\(\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\\\Probability=\dfrac{\text{Number of outcome that lands on 1 or 3}}{\text{Number of total outcomes}}\\\\\\\Probability = \dfrac{17}{50} = 0.34=34\%\)

Hence, the probability of the spinner landing on 1 or 3 is 0.34.

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we will evaluate the partial derivatives at (6, 3):

∂w/∂x(1, 10, 9) = (∂f/∂s) (6, 3) * (∂s/∂x) (1, 10) + (∂f/∂t) (6, 3) * (∂t/∂x) (1, 9)

To evaluate the given path limit, we can use the Chain rule from Calculus. First, we need to find the partial derivatives of the given function with respect to x and y. Using the Chain rule, we get:

fx = (8xy^3 - 4y^3)/(4x^2 + y^6)^(3/2) * (1)
fy = (12x^2y^2)/(4x^2 + y^6)^(3/2) * (1)

Here, (1) denotes the partial derivative of the inner function with respect to x or y, which is simply 1 since x = y^3 in this case. Now, substituting x = 0 and y = 0, we get:

fx(0, 0) = 0
fy(0, 0) = 0

Hence, the path limit is:

lim(x, y)!(0, 0) 4xy^3 / (4x^2 + y^6) = 0

Moving on to the second part of the question, we can use the Multivariable Chain Rule to find wx at (1, 10, 9). The formula for the Chain rule is:

dz/dx = dz/ds * ds/dx + dz/dt * dt/dx

Here, we want to find wx, which means z = w, x = 1, s = s(x, y) = s(1, 10) = 6, t = t(x, z) = t(1, 9) = 3. Substituting these values, we get:

wx(1, 10, 9) = fw(6, 3) * (ds/dx) + ft(6, 3) * (dt/dx)

Now, we need to find ds/dx and dt/dx. Using the Chain rule again, we get:

ds/dx = ds/ds * ds/dx + ds/dy * dy/dx
dt/dx = dt/ds * ds/dx + dt/dz * dz/dx

Here, we know that ds/ds = 1 and dy/dx = 3y^2 (from x = y^3). Also, dt/ds = 0 (since t does not depend on s) and dz/dx = wx (which we want to find). Hence, substituting these values, we get:

ds/dx = 0 + 3y^2
dt/dx = 0 + wx

Substituting these values in the previous equation, we get:

wx(1, 10, 9) = fw(6, 3) * (3y^2) + ft(6, 3) * wx

Note that we still need to find fw and ft. However, we do not have enough information to do so. Hence, the answer cannot be fully computed without more information.
Hi there! To answer your question, let's first focus on the Multivariable Chain Rule formula for w(x; y; z):

Given w = f(s, t), s = s(x, y) and t = t(x, z), the formula for the partial derivative of w with respect to x is:

∂w/∂x = (∂f/∂s) * (∂s/∂x) + (∂f/∂t) * (∂t/∂x)

Now, let's evaluate ∂w/∂x at the point (1, 10, 9):

∂w/∂x(1, 10, 9) = (∂f/∂s) * (∂s/∂x) + (∂f/∂t) * (∂t/∂x) evaluated at (s(1, 10), t(1, 9))

We are given that s(1, 10) = 6 and t(1, 9) = 3. So, we will evaluate the partial derivatives at (6, 3):

∂w/∂x(1, 10, 9) = (∂f/∂s) (6, 3) * (∂s/∂x) (1, 10) + (∂f/∂t) (6, 3) * (∂t/∂x) (1, 9)

In conclusion, we have applied the Multivariable Chain Rule and Calculus concepts to derive the expression for the partial derivative of w with respect to x at the given point.

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Answer for 1:

19

Answer for 2:

vertical

Answer for 3:

supplementary

Answer for 4:

96°

Answer for 5:

24°

Answer for 6:

120°

Explanation for All Questions:

I'm an Ace, 80% to Genius. Trust me

In this case, the mean is 5.5 cm and the standard deviation is 0.1 cm. So, one standard deviation below the mean is 5.4 cm and one standard deviation above the mean is 5.6 cm. Therefore, about 68% of the data falls between 5.4 cm and 5.6 cm, which includes the range of 5.3 cm to 5.7 cm.

Your question involves a normal distribution with a mean (µ) of 5.5 cm and a standard deviation (σ) of 0.1 cm. You want to find the percentage of data between 5.3 cm and 5.7 cm.

First, we need to standardize the scores using the z-score formula: z = (x - µ) / σ

For 5.3 cm: z1 = (5.3 - 5.5) / 0.1 = -2
For 5.7 cm: z2 = (5.7 - 5.5) / 0.1 = 2

Now, referring to a standard normal distribution table or using a calculator, we find the area between these z-scores:

This can be determined using the empirical rule, also known as the 68-95-99.7 rule, which states that for a normal distribution:
- About 68% of the data falls within one standard deviation of the mean
- About 95% of the data falls within two standard deviations of the mean
- About 99.7% of the data falls within three standard deviations of the mean

P(-2 < z < 2) = P(z < 2) - P(z < -2) = 0.9772 - 0.0228 = 0.9544

Converting it to a percentage, we get 95.44%, which is approximately 95%.

So, the answer is A. 95%.

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Answer:

Picture?

Step-by-step explanation:

Answer:

heres the picture

Step-by-step explanation:

Answer:

140 DEGREES

Step-by-step explanation:

160-20=140

It would take approximately 11.7 years to pay off the credit card balance of $3052.41 with a monthly payment of $55 and an annual interest rate of 18%.

To calculate the time it will take to pay off a credit card balance, we need to consider the interest rate, the balance, and the monthly payment. In your question, you mentioned an annual interest rate of 18% and a monthly payment of $55.

First, let's convert the annual interest rate to a monthly interest rate. We divide the annual interest rate by 12 (the number of months in a year) and convert it to a decimal:

Monthly interest rate = (18% / 12) / 100 = 0.015

Next, we can calculate the number of months it will take to pay off the balance. Let's assume there are no additional charges or fees added to the balance:

Balance = $3052.41

Monthly payment = $55

To determine the time in months, we'll use the formula:

Number of months = log((Monthly payment / Monthly interest rate) / (Monthly payment / Monthly interest rate - Balance))

Using this formula, the calculation would be:

Number of months = log((55 / 0.015) / (55 / 0.015 - 3052.41))

Calculating this equation gives us approximately 140.3 months.

Since we want to find the number of years, we divide the number of months by 12:

Number of years = 140.3 months / 12 months/year ≈ 11.7 years

Therefore, it would take approximately 11.7 years to pay off the credit card balance of $3052.41 with a monthly payment of $55 and an annual interest rate of 18%.

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The picture represents isosceles triangle theorem.

From the figure :

It is represented that two sides are equal.

And the angles opposite to this two equal sides are equal.

So it is a isosceles triangle.

Isosceles triangle:

If two sides of a triangle are congruent , then the angles opposite to these sides are congruent.

Therefore the picture represents isosceles triangle theorem.

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Answer:

I am 90% sure it is D

Step-by-step explanation:

The height of the flagpole is 12.9 feet to the nearest tenth.

The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

The boy is 5' 3" tall and his shadow is 4 feet.

The shadow of the flagpole is 17 feet.

The boy is 5.25 feet tall.

Let the height of the flagpole is h feet.

So,

17/h = 5.25/4

h = 68/5.25

h = 12.95

h = 12.9 to one decimal place.

Therefore, h = 12.9 to one decimal place.

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Answer:

5

Step-by-step explanation:

235 ÷ 47 = 5

If one of John's shelves holds 47 books, then he would need 5 shelves to hold 235 books.

I hope this helps! Have a nice rest of your day :)